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Finding the Fourth Proportional to 1,231.26, 1,698.63 and 858.46

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Solution

The fourth proportional to 1,231.26, 1,698.63 and 858.46 is: 1,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.26 : 1,698.63 = 858.46 : x
  2. Step 2: Convert to fraction form
    1,231.26/1,698.63 = 858.46/x
  3. Step 3: Cross multiply
    1,231.26x = 1,698.63 × 858.46
  4. Step 4: Simplify right side
    1,231.26x = 1,458,205.91
  5. Step 5: Solve for x
    x = 1,458,205.91/1,231.26
  6. Step 6: Final answer
    x = 1,184.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.